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Finding the Fourth Proportional to 77,007, 115,556.58 and 33,231

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Solution

The fourth proportional to 77,007, 115,556.58 and 33,231 is: 49,866.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,007 : 115,556.58 = 33,231 : x
  2. Step 2: Convert to fraction form
    77,007/115,556.58 = 33,231/x
  3. Step 3: Cross multiply
    77,007x = 115,556.58 × 33,231
  4. Step 4: Simplify right side
    77,007x = 3,840,060,709.98
  5. Step 5: Solve for x
    x = 3,840,060,709.98/77,007
  6. Step 6: Final answer
    x = 49,866.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.